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Proof step 1 from proof cong-same-add (conclusion)

⊦ ≡mod(i + i0, i + i1, j) ↔ ≡mod(i0, i1, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ≡mod(i, i0, j) ↔ j | abs(i - i0)
Proof step 3:
⊦ j | abs(i + i0 - i + i1) ↔ ≡mod(i0, i1, j)

Rule argument

spec: int-mod inst: name: congmod-def seq: ⊦ ≡mod(i, i0, j) ↔ j | abs(i - i0) subst: [j, i0, i] → [j, i + i1, i + i0] flags: rewrite, current

Additional information

Used terms: j, i + i1, i + i0